Details

Time bar (total: 5.3s)

analyze368.0ms (6.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
62.4%37.5%0.1%5
62.4%37.5%0.1%6
62.4%31.2%6.3%7
62.4%31.2%6.3%8
62.4%28.1%9.5%9
62.4%28.1%9.5%10
62.4%26.5%11%11
62.4%26.5%11%12
62.4%25.8%11.8%13
62.4%25.8%11.8%14
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample91.0ms (1.7%)

Algorithm
intervals
Results
24.0ms53×body1024valid
18.0ms61×body1024invalid
11.0ms161×body128valid
8.0ms42×body512invalid
6.0ms84×body128invalid
5.0ms24×body512valid
2.0ms18×body256valid
2.0ms14×body256invalid
Compiler

Compiled 25 to 25 computations (0% saved)

simplify261.0ms (4.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
0510018

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite22.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135 *-un-lft-identity_binary64_77
add-log-exp_binary64_113 associate-*r*_binary64_19
pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123 add-cube-cbrt_binary64_109 add-sqr-sqrt_binary64_98
flip-+_binary64_51 flip3-+_binary64_80 associate-*r/_binary64_21 distribute-lft-out_binary64_30
associate-*l*_binary64_20 distribute-lft-in_binary64_28 +-commutative_binary64_9 *-commutative_binary64_10 distribute-rgt-in_binary64_29 sum-log_binary64_165
Counts
2 → 35
Calls

2 calls:

13.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series160.0ms (3%)

Counts
2 → 6
Calls

2 calls:

134.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
26.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify76.0ms (1.4%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04885719
14885719

prune37.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done000
Total39342

Merged error: 0b

Counts
42 → 3
Compiler

Compiled 688 to 271 computations (60.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b
(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b
(+.f64 (/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)) (*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))

rewrite27.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube_binary64_110
add-exp-log_binary64_112
pow1_binary64_135
add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
add-log-exp_binary64_113
cbrt-unprod_binary64_107 prod-exp_binary64_123
associate-/r*_binary64_23 pow-prod-down_binary64_145 times-frac_binary64_83 associate-*r*_binary64_19
cbrt-undiv_binary64_108 div-exp_binary64_125 div-inv_binary64_74
associate-*l*_binary64_20 flip-+_binary64_51 flip3-+_binary64_80 associate-/l*_binary64_24 +-commutative_binary64_9 *-commutative_binary64_10 clear-num_binary64_76 frac-2neg_binary64_88 distribute-lft-out_binary64_30 sum-log_binary64_165
Counts
3 → 51
Calls

3 calls:

10.0ms
(+.f64 (/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)) (*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
7.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
7.0ms
(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series315.0ms (6%)

Counts
3 → 9
Calls

3 calls:

161.0ms
(+.f64 (/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)) (*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
85.0ms
(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
69.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify74.0ms (1.4%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04975984
14975984

prune56.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done011
Total60363

Merged error: 0b

Counts
63 → 3
Compiler

Compiled 1154 to 590 computations (48.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b
(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.3b
(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
21.3b
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

rewrite37.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_77
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135 add-sqr-sqrt_binary64_98
associate-*r/_binary64_21
add-cube-cbrt_binary64_109
add-log-exp_binary64_113
flip-+_binary64_51 cube-div_binary64_103 flip3-+_binary64_80 associate-*r*_binary64_19
associate-*l*_binary64_20 pow-unpow_binary64_151
rem-cube-cbrt_binary64_99 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 pow-exp_binary64_142 cbrt-div_binary64_106 prod-exp_binary64_123 pow-pow_binary64_146 distribute-lft-out_binary64_30
pow-to-exp_binary64_143 sqr-pow_binary64_49 cube-mult_binary64_104 distribute-lft-in_binary64_28 +-commutative_binary64_9 unswap-sqr_binary64_45 cbrt-prod_binary64_105 *-commutative_binary64_10 unpow-prod-down_binary64_153 pow1/3_binary64_156 distribute-rgt-in_binary64_29 sum-log_binary64_165 cube-prod_binary64_102 unpow3_binary64_140
Counts
4 → 70
Calls

4 calls:

10.0ms
(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
10.0ms
(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
5.0ms
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

series487.0ms (9.2%)

Counts
4 → 12
Calls

4 calls:

228.0ms
(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
129.0ms
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))
107.0ms
(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
24.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify58.0ms (1.1%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049081520
149081520

prune75.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done022
Total82385

Merged error: 0b

Counts
85 → 3
Compiler

Compiled 1606 to 672 computations (58.2% saved)

regimes92.0ms (1.7%)

Compiler

Compiled 522 to 468 computations (10.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01324
11324

end0.0ms (0%)

sample3.0s (57%)

Algorithm
intervals
Results
846.0ms1936×body1024valid
586.0ms1994×body1024invalid
320.0ms4534×body128valid
230.0ms1014×body512valid
213.0ms1079×body512invalid
189.0ms2606×body128invalid
70.0ms507×body256valid
64.0ms483×body256invalid
8.0msbody2048valid
Compiler

Compiled 106 to 93 computations (12.3% saved)

Profiling

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